" the quotient " means divide
The quotient of a number and 3 increased by 1....
(n/3) + 1 <==
Answer:
∠ ABD = 49°, ∠ CBD = 28°
Step-by-step explanation:
∠ ABD + ∠ CBD = ∠ ABC , substitute values
3x + 22 + 5x - 17 = 77 , that is
8x + 5 = 77 ( subtract 5 from both sides )
8x = 72 ( divide both sides by 8 )
x = 9
Thus
∠ ABD = 3x + 22 = 3(9) + 22 = 27 + 22 = 49°
∠ CBD = 5x - 17 = 5(9) - 17 = 45 - 17 = 28°
Answer:
<u>10 + 3π cm</u>
Step-by-step explanation:
In the given figure,
- Radius of arc/circle = 6 cm
- Length + width of rectangle = 8 cm
Here, we are asked to find the perimeter of the shaded figure, i.e, SA + AC + CT + Arc SBT.
The perimeter of arc SBT can be found using the formula 2πr/4 [Given ⟶ arc SBT = quarter (¼) of a circle].
So,
2πr/4
= 2π(6)/4
= 12π/4
= <u>3π cm</u>
Now, from the figure..
SA + AC + CT
= (SR - AR) + AC + (RT - RC)
By, rearranging the terms...
= SR + AC + RT - (AR + RC) ---------> (1)
Again, from the figure, we can see that,
- SR = RT = 6 cm (radii of the same circle)
- AC = RB = 6 cm (radii of the same circle)
- AR + RC = 8 cm (length + width of rectangle)
So, by substituting these values in (1)
SR + AC + RT - (AR + RC)
= 6 + 6 + 6 - (8)
= 18 - 8
= <u>10 cm</u>
And, the perimeter of the shade figure is,
SA + AC + CT + Arc SBT.
_________
Hope it helps!
Y - 10 = 3/5(x - 5)
y - 10 = 3/5(x) - 3/5(5)
y - 10 = 3/5x - 3
<u> +10 +10</u>
y = 3/5x + 7
Answer:
The answer is option C .
Because slope of AB = 5/3 and that of CD is -4/3
Hope this helps